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Finding the Fourth Proportional to 819,308,600.80, 1,228,962,901.20 and 819,308,600.80

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Solution

The fourth proportional to 819,308,600.80, 1,228,962,901.20 and 819,308,600.80 is: 1,228,962,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,308,600.80 : 1,228,962,901.20 = 819,308,600.80 : x
  2. Step 2: Convert to fraction form
    819,308,600.80/1,228,962,901.20 = 819,308,600.80/x
  3. Step 3: Cross multiply
    819,308,600.80x = 1,228,962,901.20 × 819,308,600.80
  4. Step 4: Simplify right side
    819,308,600.80x = 1,006,899,875,017,280,640
  5. Step 5: Solve for x
    x = 1,006,899,875,017,280,640/819,308,600.80
  6. Step 6: Final answer
    x = 1,228,962,901.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.